Which option is correct? Explain your working after choosing your answer

x^2 – 169

A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B. This polynomial could be factored by using the difference of squares method or grouping.
C. This polynomial could be factored only by using the perfect squares method.
D. This polynomial could be factored by using grouping or the perfect squares methods.
E. This polynomial could be factored only by using the difference of squares method.
F. This polynomial cannot be factored by any of the methods used in this lesson.

Answers

Answer 1

Answer:

C and E

Step-by-step explanation:

You could write the square root sign and add 169 in it and your answers would be +13 or -13. Another way could be (x+13) (x-13)

Related Questions

A composite figure is shown.
Which of the following represents the total area of the figure?

Answers

The total area of the composite figure is 484 square feet.

What is the area?

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A composite figure is shown.

To find the complete area:

Here, we have dissected three figures separately.

So, the complete area,

= The area of the triangle with a height 22 feet and base 8 feet +

the area of the rectangle with a length 16 feet and width 22 feet +

the area of the triangle with a height 4 feet and base 22 feet

= (1/2 x 22 x 8) + (16 x 22) + (1/2 x 4 x 22)

= 88 + 44 + 352

= 484 square feet.

Hence, the area is 484 square feet.

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Albert Einsteen is experimenting with 2 unusual clocks which both have 24-hours displays. Once clock goes at
twice the normal speed. The other clock goes backwards, but at the normal speed. Both clocks show the correct time
at 13:00. What is the correct time when the displays on the clock next agree?

Answers

The correct time when the displays on the clocks next agree is 01:00.

Let's assume that one hour on the normal clock is equal to x.

The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.

And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.

At 13:00, both clocks show the correct time.

So, x/2 + x = 24 - x + x.

Simplifying the equation:

24 = x + x/2

Multiplying both sides by 2:

48 = 2x + x

Subtracting x from both sides:

48 - x = 2x

Solving for x:

x = 24

So, one hour on the normal clock is equal to 24 hours.

The clock that goes twice as fast will show one hour in 24/2 = 12 hours.

And the clock that goes backward will show one hour in 24 - 24 = 0 hours.

So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.

So the correct time when the displays on the clocks next agree is 01:00.

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You are a bookstore owner and want to calculate the usual amount of money
made each day, but you know that you make four times more on Mondays
than any other day. Which measure of central tendency should you use?

A. All measures of center work equally well.
B. Mode
C. Median
D. Mean

Answers

Answer:

Median

Step-by-step explanation:

I took the test myself.

A mathematical ________________ is a statement that contains _______________, _________________, and ___________________.

Answers

A mathematical theorem is a statement that contains hypotheses, conclusions, and proofs.

What in arithmetic is a theorem?

Mathematics revolves around the theorems. A thorough proof is a specific kind of logical reasoning that has been used to demonstrate the truth of a claim, which is what a theorem is.

Which mathematical theorem is the hardest?

"When n is higher than 2, there are no pretty much the entire number answers to the problem xn + yn = zn." This equation, also referred to as "Fermat's Last Theorem," was presented for the first time by French scientist Pierre de Fick in 1637 and had baffled the world's greatest minds for further than three centuries.

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What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 13 cm wide, and 9 cm tall?

Answers

The longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

The right triangular face's hypotenuse is another name for this diagonal, which is also referred to as the space diagonal.

In this instance, the right triangle face with sides of 14, 13, and 9 cm can be taken into consideration. With the Pythagorean theorem in use,

we have:

14² + 13² + 9² = c²

196 + 169 + 81 = c²

446 = c²

c = [tex]\sqrt(446)[/tex]

c = 21.2 cm (rounded to the nearest tenth)

So the longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

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Chef Ramsy used 1/4 of a bag of flour to make some muffins and twice as many cupcakes.The amount of flour he used for each muffins was 3 times as much as each cupcake.Chef Ramsy used 5/6 of the remaining bag of flour on a cake.He used 256.5g more flour on the cake than the muffins.
What friction of the bag of flour was used on the muffins?
How much flour was there in the bag at first?

Answers

Answer:

I'd say about a couple

you're welcome

The graph of a pair of linear equations is shown in the coordinate plane below.

Which value is the x-coordinate of the solution?

-5

-3

-2

0

Answers

The value of the x-coordinate of the solution will be -2. Then the correct option is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equations are given below.

y = (5/2)x + 2 ...1

y = - x - 5 ...2

From equations 1 and 2, then we have

(5/2)x + 2 = - x - 5

(7/2)x = -7

x = -2

The value of the x-coordinate of the solution will be -2. Then the correct option is C.

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PLEASE HELP!! I DID THE GRAPH ALREADY BUT IM CONFUSED ON HOW MANY CUPS BECAUSE 1 HAS NONE AND IM NOT SURE IF I SHOULD PUT 0 BECAUSE 1 HAS NOTHING OR PUT THE 2ND SMALLEST FROM 1

Answers

You’d put 1 1/4, because it’s asking what the smallest amount a baker uses. Since no bakers use 1 cup, the only answer is 1 1/4.

Pls help me with this! I keep getting this one wrong

Tysm!

Answers

Answer:

31.4 in^2

Step-by-step explanation:

Circumference formula: pi times 2 times radius

so equation would be 3.14 (pi value) times 2 times 5 and you get your answer

Marta’s jump rope is 10 inches shorter than three times the length of David’s rope.

If both of their ropes lay together end to end, they measure 120 inches long. How long is each person’s jump rope?

Answers

Marta's rope is 10 inches shorter than three times the length of David's rope and they measure 120 inches long together , then Marta's rope is 77.5 inches long and David's rope is 32.5 inches long.

Let's call the length of David's rope x.

According to the problem, Marta's rope is 10 inches shorter than three times the length of David's rope, so we can write an equation for Marta's rope:

length of Marta's rope = 3 * x - 10

And the combined length of both of their ropes is 120 inches, so we can write another equation:

x + (3 * x - 10) = 120

Expanding the second equation and solving for x, we get:

4x - 10 = 120

Adding 10 to both sides:

4x = 130

Dividing both sides by 4:

x = 32.5

So, David's rope is 32.5 inches long.

We can use the first equation to find the length of Marta's rope:

length of Marta's rope = 3 * x - 10 = 3 * 32.5 - 10 = 87.5 - 10 = 77.5 inches

So, Marta's rope is 77.5 inches long.

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which equation is standard form has a slope of -2/5 and passes through the point (5,-8)

Answers

The equation of the line with a slope of -2/5 and passing through the point (5, -8) in standard, slope-intercept, form is; y = -0.4·x - 6

What is an equation?

An equation consists of expressions and or numbers, expressed to be equivalent, by joining them with an '=' sign.

A standard form of the equation of a straight line is the slope-intercept form, which can be presented as follows; y = m·x + c

Where;

m = The slope of the graph of the equation

c = The y-intercept

The equation in the slope-intercept form can be obtained from the point-slope form, using the details of the slope of the graph of the equation (-2/5), and the point through which the graph of the equation passes (5, -8)

The point-slope of the equation is therefore;

y - (-8) = (-2/5)×(x - 5)

y + 8 = -2·x/5 + 2

y = -2·x/5 + 2 - 8 = -2·x/5 - 6 = -0.4·x - 6

The equation with a slope of -2/5 and passing through the point (5, -8), therefore is; y = -0.4·x - 6

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Barret is looking at a building on the school grounds which is shaped like a rectangle as shown. He knows the building has a height of 32x ft, width of 46x and the diagonal of the building is 200ft

Answers

The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

Definition of Pythagoras Theorem:

The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.

It is stated in this formula:

[tex](side)^2+(side)^2=(hypotenuse)^2[/tex]

Given that,

Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

We must determine what x stands for.

We know that,

The height of building is 32x.

The width is 46x

The diagonal is 200 feet

So we form a triangle

From the Pythagoras theorem,

Hyp² = Side²+ Side²

200² = (32x)² + (46x)²

40000 = 1024x² + 2116x²

3140x² = 40000

x² = 12.73

Square root on both sides

x = √12.73

Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

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PLSSSS HELP
Brian's mathematics test had 85 problems: 20 arithmetic, 30 algebra, and 35 geometry problems. Although he answered 70% of the arithmetic problems, 40% of the algebra problems, and 60% of the geometry problems correctly, he didn't pass the test because he got less than 60% of the problems right. How many more questions would he have needed to answer correctly to earn a 60% passing grade?

Answers

Answer:

Step-by-step explanation:

You want to know how many more questions Brian needed to answer correctly to get a passing grade of 60% on his 85-question test, given that he answered correctly 70% of the 20 arithmetic problems, 40% of the 30 algebra problems, and 60% of the 35 geometry problems.

Correct answers

The number of correct answers Brian supplied was ...

0.70·20 +0.40·30 +0.60·35 = 14 +12 +21 = 47

The number of correct answers Brian needed for a passing grace was ...

0.60·85 = 51

Brian needed to answer 51 -47 = 4 more questions correctly to earn a passing grade.

Which combined inequality has the same solution set shown in the graph of x?

Number line ranging from negative four to four, with a line beginning with an open point at negative three and ending with a closed point at negative one

Responses

–3 ≤ x > –1

–3 ≤ x > –1

–3 ≤ x < –1

–3 ≤ x < –1

–3 < x ≤ –1

–3 < x ≤ –1

–3 > x ≥ –1

Answers

Answer is -3 is less than( alligator facing away with no line under it) x is less than or equal to ( alligator facing away WITH LINE UNDERNEATH)

Looks like this but the alligator eating -1 needs to have a line under it:
-3

me pueden decir los múltiplos de 5? porfas:(

Answers

Los múltiplos de 5 son 5,10,15,20,25,30,35,40,45,50,..........

Definición de múltiplos

Los múltiplos son números que se multiplican por un número con un entero positivo (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, etc.). En términos simples, un múltiplo es el producto de un número con otro número (enteros enteros, no fracciones ni decimales).

Los números múltiples son mayores o iguales que el número en sí. Esto se debe a que el primer múltiplo se multiplica por 1. Entonces, el primer múltiplo es el número mismo. Un número o números pueden tener múltiplos de una lista ilimitada de múltiplos. Porque los números se pueden multiplicar continuamente por otros enteros más grandes.

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create a frequency distribution, this time separating results for sex categories. include in your analysis the appropriate measure of central tendency. are there any differences in their measures? explain.

Answers

a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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For the following right triangle, a= 6, b=4. Find the length of c. I don't understand

Answers

Answer:

[tex]c=2\sqrt{13[/tex]

Step-by-step explanation:

In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.

[tex]36+16=c^2[/tex]

[tex]52=c^2[/tex]

[tex]\sqrt{c^2} =\sqrt{52}[/tex]

[tex]c=\sqrt{52}[/tex]

If we simplify...

[tex]c=2\sqrt{13}[/tex]

6300000 in standard form

Answers

Answer:

6.3×10^6

Step-by-step explanation:

6.3×10^6

in standard form

6.3 times 10 raise to power 5

How do I solve this equation?
3(5)-3(4)•y

when y is 2

Answers

Answer:

-9

Step-by-step explanation:

3(5)-3(4)•y

3(5)-3(4)•2

15 - 12 · 2

15 - 24

-9

Answer:

To solve the equation 3(5) - 3(4)•2, we need to simplify each term and then substitute the value of 2 for y.

Starting with the first term:

3(5) = 15

Next, the second term:

-3(4)•2 = -24

So, putting it all together:

15 - 24 = -9

So when y is 2, the equation simplifies to -9.

Step-by-step explanation:

which measurement is equivalent to 2.34 meters? responses 0.0234 cm 0.0234 cm 23.4 cm 23.4 cm 234 cm 234 cm 2340 cm

Answers

Option 234 cm is the correct option.

The measurement equivalent to 2.34 meters is: 234 cm

To convert meters to centimeters,

you multiply the number of meters by

100.

So, 2.34 meters multiplied by 100 is equal to 234 centimeters.

An object is only identified or classified using numbers on a nominal scale, which is a measuring scale. Only non-numeric (quantitative) factors or situations where numbers have no meaning are often addressed by this assessment.

By increasing the number of metres by 100, one may convert measurements from metres to centimetres. One metre equals one hundred centimetres, or 1 m = 100 cm, as is common knowledge.

Cm is used to represent it in writing. It may also be described as the unit of length in the current metric system, the International System of Units (SI). It is equal to one hundredth of a metre.

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The square rootof 144xsquareduvuded by 4

Answers

The square root of 144x^2 divided by 4 can be simplified as follows:

√(144x^2/4) = √(36x^2) = 6x

So the square root of 144x^2 divided by 4 is equal to 6x

On the first day of a trip, George traveled 295.6 kilometers. On the second day of the trip, George traveled twice as far as he did on the first day. How far did George travel all together during the two days of the trip?

Answers

Answer:

591.2 kilometers

Step-by-step explanation:

times 295.6 × 2 and you will get 591.2

Billy buys candy bars for $12.50. Each candy bar cost costs $0.75. How many candy bars did he buy?

Answers

Answer:

16 candy bars

Step-by-step explanation:

We know

Each candy bar cost costs $0.75

Billy buys candy bars for $12.50

How many candy bars did he buy?

We take

$12.50 divided by $0.75 = 16 candy bars

So, he bought 16 candy bars.

Answer:

16 2/3 candy bars. Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.

Step-by-step explanation:

12.50/.75 = 16 2/3 candy bars

16 candy bars would cost $12.00

16 x .75 = 12.00

A man keeps birds in a big cage in his garden

2/5 of the birds are brown

4 of the birds of black

the rest of the birds are white

the man takes a bird out the cage at random

the probability that this bird is black is 0.2

how many of the birds in the cage are white

Answers

Total birds = 20
White birds = 8

Total :20 birds
4 black, 8 brown and 8 white

A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup? A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup?

Answers

The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%

According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :

The selling price of 300 shirts = 300 × $9

The selling price of 300 shirts = $2700

Selling price > cost price i.e., 2700 > 1800

when selling price is greater than cost price it means department store made a profit.

Profit = selling price - cost price

Profit = 2700 - 1800 = $900

Profit percentage = profit/ cost price × 100

Profit % =[tex]\frac{900}{1800} \times 100[/tex]

Profit % = 50%

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(Theoretical Probability MC)

Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not green) when choosing one marble from the bag.

92%
88%
24%
12%

Answers

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

What is the meaning of probability and it will be calculated?

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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Please help e find rration for cos b. Fraction only!

Answers

The value of cos B in the fraction is 12/37.

What is a right-angled triangle?

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

A right-angled triangle.

The trigonometric identity:

Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle

Cos B = 12/37

Therefore, Cos B = 12/37.

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When given a set of cards lying face down that spell M, A, T, H, R, O, C, K, S, determine the probability of randomly drawing a vowel. one nineth two nineths one third three sixths

Answers

2/9 because two out of the 9 letters are vowels

Answer:that is correct it is 2/9

Step-by-step explanation:

Which of the following statements are true about the right triangle? Select all that apply.

Answers

Answer:

the answer is B) and E)

Step-by-step explanation:

it's not that complicated, just have to subtract 12 from 37

Answer:This is a right triangle.One of the legs has a length of 20.

Step-by-step explanation:

the rocket coaster has 15 cars, some that hold 3 people and some that hold 5 people. there is room for 63 people altogether. how many 3-passenger cars are there? how many 5-passenger cars are there?

Answers

There are 6 cars that hold 3 people and 9 cars that hold 5 people.

How to determine the number of passengers

Let's call the number of 3-passenger cars "x" and the number of 5-passenger cars "y".

We know the total number of cars is 15, so:

x + y = 15

We also know that the total number of passengers is 63, so:

3x + 5y = 63

Now we can use the first equation to solve for one of the variables in terms of the other:

y = 15 - x

Substitute this expression for y into the second equation:

3x + 5(15 - x) = 63

Expand

3x + 75 - 5x = 63

Evaluate like terms:

2x = 12

Divide both sides by 2:

x = 6

Recall that

y = 15 - x

So, we have

y = 15 - 9

y = 6